# On symmetric power L-invariants of Iwahori level Hilbert modular forms

@article{Harron2013OnSP,
title={On symmetric power L-invariants of Iwahori level Hilbert modular forms},
author={R. Harron and Robert Andrei Jorza},
journal={American Journal of Mathematics},
year={2013},
volume={139},
pages={1605 - 1647}
}
• Published 2013
• Mathematics
• American Journal of Mathematics
• abstract:We compute the arithmetic ${\cal L}$-invariants (of Greenberg-Benois) of twists of symmetric powers of $p$-adic Galois representations attached to Iwahori level Hilbert modular forms (under some technical conditions). Our method uses the automorphy of symmetric powers and the study of analytic Galois representations on $p$-adic families of automorphic forms over symplectic and unitary groups. Combining these families with some explicit plethysm in the representation theory of \${\rm GL… CONTINUE READING
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